{"id":"https://openalex.org/W2951749871","doi":"https://doi.org/10.1017/s0021900200009451","title":"An Application of the Backbone Decomposition to Supercritical Super-Brownian Motion with a Barrier","display_name":"An Application of the Backbone Decomposition to Supercritical Super-Brownian Motion with a Barrier","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2951749871","doi":"https://doi.org/10.1017/s0021900200009451","mag":"2951749871"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200009451","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0021900200009451","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/758A5ED7E693BC6AEF2542DE4F8AF793/S0021900200009451a.pdf/div-class-title-an-application-of-the-backbone-decomposition-to-supercritical-super-brownian-motion-with-a-barrier-div.pdf","source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/758A5ED7E693BC6AEF2542DE4F8AF793/S0021900200009451a.pdf/div-class-title-an-application-of-the-backbone-decomposition-to-supercritical-super-brownian-motion-with-a-barrier-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039368667","display_name":"Andreas E. Kyprianou","orcid":"https://orcid.org/0000-0001-7599-2495"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"A. E. Kyprianou","raw_affiliation_strings":["University of Bath"],"affiliations":[{"raw_affiliation_string":"University of Bath","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040168264","display_name":"Antonio Murillo-Salas","orcid":"https://orcid.org/0000-0002-2529-6528"},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"A. Murillo-Salas","raw_affiliation_strings":["Universidad de Guanajuato"],"affiliations":[{"raw_affiliation_string":"Universidad de Guanajuato","institution_ids":["https://openalex.org/I129858807"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013937606","display_name":"Jos\u00e9 Luis P\u00e9rez","orcid":"https://orcid.org/0000-0003-4300-1794"},"institutions":[{"id":"https://openalex.org/I187481652","display_name":"Instituto Tecnol\u00f3gico Aut\u00f3nomo de M\u00e9xico","ror":"https://ror.org/029md1766","country_code":"MX","type":"education","lineage":["https://openalex.org/I187481652"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"J. L. P\u00e9rez","raw_affiliation_strings":["Mexico Autonomous Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Mexico Autonomous Institute of Technology","institution_ids":["https://openalex.org/I187481652"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013937606","https://openalex.org/A5039368667","https://openalex.org/A5040168264"],"corresponding_institution_ids":["https://openalex.org/I129858807","https://openalex.org/I187481652","https://openalex.org/I51601045"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.45353728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"03","first_page":"671","last_page":"684"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7498432397842407},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.7396296262741089},{"id":"https://openalex.org/keywords/supercritical-fluid","display_name":"Supercritical fluid","score":0.6328622102737427},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5184133052825928},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.477800190448761},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18332532048225403},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09400692582130432},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08284932374954224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7498432397842407},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.7396296262741089},{"id":"https://openalex.org/C118419359","wikidata":"https://www.wikidata.org/wiki/Q682585","display_name":"Supercritical fluid","level":2,"score":0.6328622102737427},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5184133052825928},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.477800190448761},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18332532048225403},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09400692582130432},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08284932374954224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200009451","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0021900200009451","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/758A5ED7E693BC6AEF2542DE4F8AF793/S0021900200009451a.pdf/div-class-title-an-application-of-the-backbone-decomposition-to-supercritical-super-brownian-motion-with-a-barrier-div.pdf","source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0021900200009451","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0021900200009451","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/758A5ED7E693BC6AEF2542DE4F8AF793/S0021900200009451a.pdf/div-class-title-an-application-of-the-backbone-decomposition-to-supercritical-super-brownian-motion-with-a-barrier-div.pdf","source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.49000000953674316,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2951749871.pdf","grobid_xml":"https://content.openalex.org/works/W2951749871.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W654546632","https://openalex.org/W1521911744","https://openalex.org/W1531393797","https://openalex.org/W1588154267","https://openalex.org/W1963540698","https://openalex.org/W1973159727","https://openalex.org/W1986777045","https://openalex.org/W1993256506","https://openalex.org/W1997035758","https://openalex.org/W2011386252","https://openalex.org/W2015868549","https://openalex.org/W2016983897","https://openalex.org/W2031810620","https://openalex.org/W2040367836","https://openalex.org/W2049428081","https://openalex.org/W2077468973","https://openalex.org/W2086831573","https://openalex.org/W2089140645","https://openalex.org/W2157984341","https://openalex.org/W2166726586","https://openalex.org/W2334885826","https://openalex.org/W2751862591","https://openalex.org/W2809783881","https://openalex.org/W2953170371","https://openalex.org/W2962883256","https://openalex.org/W3143524301"],"related_works":["https://openalex.org/W3196163622","https://openalex.org/W2370685986","https://openalex.org/W2371292460","https://openalex.org/W2130313128","https://openalex.org/W2382967792","https://openalex.org/W2316032560","https://openalex.org/W2097734592","https://openalex.org/W4244441149","https://openalex.org/W2357086870","https://openalex.org/W2050524311"],"abstract_inverted_index":{"We":[0],"analyse":[1],"the":[2,12,48,51,55,60,69,74,79],"behaviour":[3],"of":[4,16,59,71],"supercritical":[5],"super-Brownian":[6],"motion":[7,31],"with":[8,43,78],"a":[9],"barrier":[10],"through":[11],"pathwise":[13],"backbone":[14],"embedding":[15],"Berestycki,":[17],"Kyprianou":[18,36],"and":[19,35,38],"Murillo-Salas":[20],"(2011).":[21],"In":[22],"particular,":[23],"by":[24],"considering":[25],"existing":[26],"results":[27],"for":[28],"branching":[29],"Brownian":[30],"due":[32],"to":[33],"Harris":[34],"(2006)":[37],"Maillard":[39],"(2011),":[40],"we":[41],"obtain,":[42],"relative":[44],"ease,":[45],"conclusions":[46],"regarding":[47],"growth":[49],"in":[50,54],"right-most":[52],"point":[53],"support,":[56],"analytical":[57],"properties":[58],"associated":[61,77],"one-sided":[62],"Fisher-Kolmogorov-Petrovskii-Piscounov":[63],"wave":[64],"equation,":[65],"as":[66,68],"well":[67],"distribution":[70],"mass":[72],"on":[73],"exit":[75],"measure":[76],"barrier.":[80]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}
